Suppose it is known that 45% of the population are Coalition voters, 45% are ALP voters, and 10% vote for Greens.
Suppose it is also known that The Australian newspaper is read by 70% of Coalition voters, 35% of ALP voters, and 20% of Greens voters. If a randomly selected person is observed reading The Australian, what is the probability that he or she is a Coalition voter (rounded to 3 decimal places)?